A298213 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A298213

Triangle read by rows, expansion of exp(x*exp(z)*tan(z)).

1, 0, 1, 0, 2, 1, 0, 5, 6, 1, 0, 12, 32, 12, 1, 0, 41, 160, 110, 20, 1, 0, 142, 856, 900, 280, 30, 1, 0, 685, 4816, 7231, 3360, 595, 42, 1, 0, 3192, 29952, 58632, 37856, 9800, 1120, 56, 1, 0, 19921, 199680, 493100, 416640, 147126, 24192, 1932, 72, 1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Triangle starts:

0: 1;

1: 0, 1;

2: 0, 2, 1;

3: 0, 5, 6, 1;

4: 0, 12, 32, 12, 1;

5: 0, 41, 160, 110, 20, 1;

6: 0, 142, 856, 900, 280, 30, 1;

7: 0, 685, 4816, 7231, 3360, 595, 42, 1;

8: 0, 3192, 29952, 58632, 37856, 9800, 1120, 56, 1;

MAPLE

gf := exp(x*exp(z)*tan(z)):

X := n -> series(gf, z, n+2):

Z := n -> n!*expand(simplify(coeff(X(n), z, n))):

A298213_row := n -> op(PolynomialTools:-CoefficientList(Z(n), x)):

seq(A298213_row(n), n=0..8);

CROSSREFS

T(n,1) = A009739(n), T(n,n) = A002378(n-1).

Row sums are A009248.

Cf. A075497.

Sequence in context: A269951 A176056 A373224 * A130191 A054651 A292323

Adjacent sequences: A298210 A298211 A298212 * A298214 A298215 A298216

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Jan 15 2018

STATUS

approved